Structure of entropies in dissipative multicomponent fluids

Autor:	Vincent Giovangigli, Lionel Matuszewski
Rok vydání:	2013
Předmět:	Physics Numerical Analysis Entropy (classical thermodynamics) Partial differential equation Modeling and Simulation Hyperbolic set Thermochemistry Dissipative system Thermodynamics Heat equation Affine transformation Fluid models
Zdroj:	Kinetic & Related Models. 6:373-406
ISSN:	1937-5077
DOI:	10.3934/krm.2013.6.373
Popis:	We investigate the structure of mathematical entropies for dissipative multicomponent fluid models derived from the kinetic theory of gases. The corresponding governing equations notably involve nonideal thermochemistry as well as diffusion fluxes driven by chemical potential gradients and temperature gradients. We obtain the general form of mathematical entropies compatible with the hyperbolic structure of the system of partial differential equations assuming a natural nondegeneracy condition. We next establish that entropies compatible with the hyperbolic-parabolic structure are unique up to an affine transform when they are independent on mass and heat diffusion parameters.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e6fa0f907ef1c257545ebef457385049 https://doi.org/10.3934/krm.2013.6.373 Zobrazit plný text záznamu